For a class of discrete-time systems with simultaneous sector-bounded nonlinearities and varying time delay, the
design problem of non-fragile nonlinear memory state feedback??∞ controller is investigated. A more general controller gain
variations is proposed. A sufficient delay dependent condition for the existence of non-fragile controller is obtained by using
appropriate Lyapunov-Krasovskii functional approach and linear matrix inequality(LMI) technique. Finally, a numerical
example demonstrates the effectiveness of the proposed design method.